Question

The ratio of the sides of a rectangle is 4 : 9 and the area is equal to 144 sq.m. The perimeter in meters is

• A. 52
• B. 26
• C. 18
• D. 30

Hint:

The perimeter of a rectangle is calculated as \( P = 2 \times (\text{length} + \text{width}) \).

Answer 1

The Correct Option is A

Let the sides of the rectangle be \( 4x \) and \( 9x \). The area of the rectangle is given by: \[ \text{Area} = 4x \times 9x = 36x^2 = 144 \quad \Rightarrow \quad x^2 = \frac{144}{36} = 4 \quad \Rightarrow \quad x = 2. \] Thus, the sides of the rectangle are \( 4x = 8 \) meters and \( 9x = 18 \) meters. The perimeter \( P \) of the rectangle is given by: \[ P = 2 \times (8 + 18) = 2 \times 26 = 52 \text{ meters}. \]